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UID:www.tcs.tifr.res.in/event/1185
DTSTAMP:20230914T125953Z
SUMMARY:A Study of Information Transmission over Quantum Channels in the On
 e Shot Setting
DESCRIPTION:Speaker: Sayantan  Chakraborty\n\nAbstract: \nWe study informat
 ion transmission over quantum channels in the one shot setting. We primari
 ly consider multiterminal channels and develop several tools to send quant
 um information over these channels.\nOur first contribution is a generalis
 ation of the well known decoupling theorem\, to the setting of multiple se
 nders\, which immediately allows us to design encoders and decoders for en
 tanglement transmission over the quantum multiple access channel\, among o
 ther applications. However\, these results are non-smooth\, in the sense t
 hat they do not recover the best known asymptotic iid bounds.\nTo overcome
  this issue\, we develop two new techniques which we believe will be usefu
 l in other contexts as well \;\ni. Successive cancellation decoding for en
 tanglement transmission codes\nii. Quantum Rate Splitting\nFinally\, we ta
 ckle the problem of sending private classical information over the quantum
  MAC in the presence of an eavesdropper. Nothing was known about this prob
 lem\, even in the asymptotic iid setting\, due to a famous open problem th
 at becomes a bottleneck for most coding strategies. This problem is known 
 as 'simultaneous smoothing'. We overcome this issue by developing a new su
 ccessive cancellation covering lemma\, which allows us to recover the idea
 l rate region in the asymptotic iid setting. We also recover a non-trivial
  rate region in the one shot setting by using our new covering lemma in co
 njunction with our quantum rate splitting technique\n
URL:https://www.tcs.tifr.res.in/web/events/1185
DTSTART;TZID=Asia/Kolkata:20220201T140000
DTEND;TZID=Asia/Kolkata:20220201T150000
LOCATION:Via Zoom
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